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Finding the Third Proportional to 581,852 and 908,137

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Solution

The third proportional to 581,852 and 908,137 is: 1,417,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,852 : 908,137 = 908,137 : x
  2. Step 2: Convert to fraction form
    581,852/908,137 = 908,137/x
  3. Step 3: Cross multiply
    581,852x = 908,137 × 908,137
  4. Step 4: Simplify right side
    581,852x = 824,712,810,769
  5. Step 5: Solve for x
    x = 824,712,810,769/581,852
  6. Step 6: Final answer
    x = 1,417,392.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.